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arXiv 0804.4750cs.RO
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双台杜宾车的数控设计

The Numerical Control Design for a Pair of Dubins Vehicles

Institut Teknologi Bandung(万隆理工学院);Diponegoro University(迪波内戈罗大学)

Heru Tjahjana, Iwan Pranoto, Hari Muhammad, J. Naiborhu, Miswanto

摘要:

在本文中,一对Dubins车辆模型被认为是。车辆从初始位置和取向移动到最终位置和取向。在长时间的运动中,两辆车不允许相撞,但两辆车不能相距太远。车辆的最优控制是使用庞特里亚金最大值原理(PMP)。这种PMP导致一个由微分方程及其伴随系统组成的哈密顿系统。原微分方程有初、终条件,而伴随系统没有初、终条件。用最大梯度下降法解决了经典问题。本文给出了一些模拟结果。

英文摘要:

In this paper, a model of a pair of Dubins vehicles is considered. The vehicles move from an initial position and orientation to final position and orientation. A long the motion, the two vehicles are not allowed to collide however the two vehicles cant to far each other. The optimal control of the vehicle is found using the Pontryagins Maximum Principle (PMP). This PMP leads to a Hamiltonian system consisting of a system of differential equation and its adjoint. The originally differential equation has initial and final condition but the adjoint system doesn't have one. The classical difficulty is solved numerically by the greatest gradient descent method. Some simulation results are presented in this paper.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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